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Optimal extraction from a renewable groundwater aquifer with stochastic recharge
Author(s) -
Zeitouni N.
Publication year - 2004
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2003wr002162
Subject(s) - groundwater recharge , aquifer , groundwater , surface runoff , stock (firearms) , environmental science , hydrology (agriculture) , extraction (chemistry) , geology , geotechnical engineering , engineering , ecology , chemistry , chromatography , biology , mechanical engineering
This work considers the management of an aquifer with stochastic recharge and finite boundaries. For a class of such models we show that there is a positive threshold of the water stock that the manager should aim at keeping. Thus, under the optimal extraction regime at a time when the water stock is lower than this threshold, there should be no pumping from the aquifer, while at times when the water stock is greater than the threshold, all water in excess of the threshold level should be pumped. The threshold level happens to coincide with the aquifer boundary for sufficiently high unit cost of pumping, in which case, only the runoff water of excess recharge should be collected.